Horizontal Dipole Arrays Over Lossy Ground

摘要

The Approximate Boundary Condition is introduced and applied to find the Hertz potential for a horizontal dipole over a lossy ground. The integrals so obtained can be computed much more economically than the Sommerfeld's integral. The results of this approximation are compared with those of Sommerfeld's formulas. It is found that the accuracy is very good in most of the cases even where both the dipole and observation positions are very close to the air-earth interface. The Hertz potential thus obtained is then applied to find the current distribution for a horizontal antenna over a lossy ground. The resulting integral equation is then reduced to Hallen's type, and the current distribution is obtained by a numerical technique. The current distribution for a parallel array antenna fed by the transmission line is also obtained by coupling the transmission line equations to Hallen's equation. (Author)